Respuesta :
The best estimate for the perimeter of this triangle would about 23.7 inches. Hope this helps!
Answer:
The required perimeter is 23.7 inches.
Step-by-step explanation:
Consider the provided measure 30,60, and 90
The ratio of side in 30-60-90 is:
Side opposite to the 30° angle is x
Side opposite to the 60° angle is x × √3
Side opposite to the 90° angle is 2x
The hypotenuse of the triangle measures 10 inches.
Side opposite to the 90° is known as the hypotenuse.
Thus,
[tex]2x=10[/tex]
[tex]x=5[/tex]
The side opposite to the 30° angle is 5 inches.
The side opposite to the 60° angle is x × √3 = 5×√3 = 8.7 inches (nearest tenth)
The perimeter is the sum of all sides:
5+10+8.7=23.7 inches
Hence, the required perimeter is 23.7 inches.
